Floyd Young
04/06/2024 · Senior High School
Analyze the polynomial function \( f(x)=(x+8)(x-1)^{2} \) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like \( \mathrm{y}=\mathrm{x}^{3} \) for large values of \( |\mathrm{x}| \). (b) Find the x - and y -intercepts of the graph of the function. The x -intercept(s) is/are \( -8,1 \). (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The \( y \)-intercept is (Simplify your answer. Type an integer or a fraction.)
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The x-intercept(s) is/are \( -8, 1 \).
The y-intercept is \( 8 \).
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